What is 35x-30y+12=0,30x+35y-10=0 ?

The solution to 35x-30y+12=0,30x+35y-10=0 is x=-24/425 ,y= 142/425

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35x-30y+12=0,30x+35y-10=0

35 x - 30 y + 12 = 0, 30 x + 35 y - 10 = 0

x = - \frac{24}{425}, y = \frac{142}{425}

Solution steps

[35 x - 30 y + 12 = 0 30 x + 35 y - 10 = 0]

Isolate

x

for

35 x - 30 y + 12 = 0 : x = \frac{30 y - 12}{35}

Substitute

x = \frac{30 y - 12}{35}

[30 \cdot \frac{30 y - 12}{35} + 35 y - 10 = 0]

Simplify

[\frac{425 y - 72}{7} - 10 = 0]

Isolate

y

for

\frac{425 y - 72}{7} - 10 = 0 : y = \frac{142}{425}

For

x = \frac{30 y - 12}{35}

Substitute

y = \frac{142}{425}

x = \frac{30 \cdot \frac{142}{425} - 12}{35}

\frac{30 \cdot \frac{142}{425} - 12}{35} = - \frac{24}{425}

x = - \frac{24}{425}

The solutions to the system of equations are:

x = - \frac{24}{425}, y = \frac{142}{425}

3 x - 4 y + 24 = 0, x + y - 13 = 0

2 x - y = 4, x + y = 5

3 x + y = 3, 4 x - 3 y = 17

3 x + 2 y + z = 1, 5 x + 3 y + 4 z = 2, x + y - z = 1

5 x + 2 y = - 3, 3 x - 4 y = - 7

What is 35x-30y+12=0,30x+35y-10=0 ?
The solution to 35x-30y+12=0,30x+35y-10=0 is x=-24/425 ,y= 142/425